On the global Gaussian Lipschitz space
Journal article, 2017

A Lipschitz space is defined in the Ornstein-Uhlenbeck setting, by means of a bound for the gradient of the Ornstein-Uhlenbeck Poisson integral. This space is then characterized with a Lipschitz-type continuity condition. These functions turn out to have at most logarithmic growth at infinity. The analogous Lipschitz space containing only bounded functions was introduced by Gatto and Urbina and has been characterized by the authors.

Author

Liguang Liu

Peter Sjögren

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Proceedings of the Edinburgh Mathematical Society

0013-0915 (ISSN) 1464-3839 (eISSN)

Vol. 60 3 707-720

Subject Categories

Mathematics

Mathematical Analysis

Roots

Basic sciences

DOI

10.1017/S0013091516000390

More information

Created

10/8/2017